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BBA 3310 Unit VI Assignment
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Question 1: (10 points). (Bond valuation) Calculate the value of a bond that matures in 12
years and has
$1,000 par value. The annual coupon interest rate is 9 percent and the market's required
yield to maturity
on a comparable-risk bond is 12 percent. Round to the nearest cent.
The value of the bond is
Question 2: (10 points). (Bond valuation) Enterprise, Inc. bonds have an annual coupon
rate of 11
percent. The interest is paid semiannually and the bonds mature in 9 years. Their par
value is $1,000. If
the market's required yield to maturity on a comparable-risk bond is 14 percent, what is
the value of the
bond? What is its value if the interest is paid annually and semiannually? (Round to the
nearest cent.)
a. The value of the Enterprise bonds if the interest is paid semiannually is
b. The value of the Enterprise bonds if the interest is paid annually is
$
$
Question 3: (10 points). (Yield to maturity) The market price is $750 for a 20-year bond
($1,000 par
value) that pays 9 percent annual interest, but makes interest payments on a semiannual
basis (4.5
percent semiannually). What is the bond's yield to maturity? (Round to two decimal
places.)
The bond's yield to maturity is
%
Question 4: (10 points). (Yield to maturity) A bond's market price is $950. It has a $1,000
par value, will
mature in 14 years, and has a coupon interest rate of 8 percent annual interest, but makes
its interest
2. payments semiannually. What is the bond's yield to maturity? What happens to the bond's
yield to
maturity if the bond matures in 28 years? What if it matures in 7 years? (Round to two
decimal places.)
The bond's yield to maturity if it matures in 14 years is
The bond's yield to maturity if it matures in 28 years is
The bond's yield to maturity if it matures in 7 years is
%
%
%
Question 5: (15 points). (Bond valuation relationships) Arizona Public Utilities issued a
bond that pays
$70 in interest, with a $1,000 par value and matures in 25 years. The markers required
yield to maturity
on a comparable-risk bond is 8 percent. (Round to the nearest cent.) For questions with
two answer
options (e.g. increase/decrease) choose the best answer and write it in the answer block.
Question
a. What is the value of the bond if the markers required yield to maturity on a
comparable-risk
bond is 8 percent?
b. What is the value of the bond if the markers required yield to maturity on a
comparable-risk
bond increases to 11 percent?
Answer
$
$
c. What is the value of the bond if the market's required yield to maturity on a
comparable-risk
bond decreases to 7 percent?
$
d. The change in the value of a bond caused by changing interest rates is called
interest-rate
risk. Based on the answer: in parts b and c, a decrease in interest rates (the yield to
maturity)
will cause the value of a bond to (increase/decrease):
By contrast in interest rates will cause the value to (increase/decrease):
BBA 3310 Unit VI Assignment
Also, based on the answers in part b, if the yield to maturity (current interest rate) equals
the
coupon interest rate, the bond will sell at (par/face value):
exceeds the bond's coupon rate, the bond will sell at a (discount/premium):
and is less than the bond's coupon rate, the bond will sell at a (discount/premium):
3. e. Assume the bond matures in 5 years instead of 25 years, what is the value of the bond
if the
yield to maturity on a comparable-risk bond is 8 percent? $ 960.07 Assume the bond
matures in
5 years instead of 25 years, what is the value of the bond if the yield to maturity on a
comparable-risk bond is 11 percent?
$
f. Assume the bond matures in 5 years instead of 25 years, what is the value of the bond if
the
yield to maturity on a comparable-risk bond is 7 percent?
$
g. From the findings in part e, we can conclude that a bondholder owning a long-term
bond is
exposed to (more/less) interest-rate risk than one owning a short-term bond.
Question 6: (5 points). (Measuring growth) If Pepperdine, Inc.'s return on equity is 14
percent and the
management plans to retain 55 percent of earnings for investment purposes, what will be
the firm's
growth rate? (Round to two decimal places.)
The firm's growth rate will be
7.70
%
Question 7: (10 points). (Common stock valuation) The common stock of NCP paid $1.29
in dividends
last year. Dividends are expected to grow at an annual rate of 6.00 percent for an
indefinite number of
years. (Round to the nearest cent.)
a. If your required rate of return is 8.70 percent, the value of the stock for you is:
b. You (should/should not) make the investment if your expected value of the
stock is (greater/less) than the current market price because the stock would be
undervalued.
$
Question 8: (10 points). (Measuring growth) Given that a firm's return on equity is 22
percent and
management plans to retain 37 percent of earnings for investment purposes, what will be
the firm's
growth rate? If the firm decides to increase its retention rate, what will happen to the value
of its common
4. stock? (Round to two decimal places.)
a. The firm's growth rate will be:
b. If the firm decides to increase its retention ratio, what will happen to the value
of its common stock? An increase in the retention rate will (increase/decrease) the
rate of growth in dividends, which in turn will (increase/decrease) the value of the
common stock.
8.14%
Question 9: (10 points). (Relative valuation of common stock) Using the P/E ratio
approach to valuation,
calculate the value of a share of stock under the following conditions:
the investor's required rate of return is 13 percent,
the expected level of earnings at the end of this year (E1) is $8,
the firm follows a policy of retaining 40 percent of its earnings,
the return on equity (ROE) is 15 percent, and
similar shares of stock sell at multiples of 8.571 times earnings per share.
BBA 3310 Unit VI Assignment
Now show that you get the same answer using the discounted dividend model. (Round to
the nearest
cent.)
a. The stock price using the P/E ratio valuation method is:
b. The stock price using the dividend discount model is:
$
$
Question 10: (10 points) (Preferred stock valuation) Calculate the value of a preferred
stock that pays a
dividend of $8.00 per share when the market's required yield on similar shares is 13
percent. (Round to
the nearest cent.)
a. The value of the preferred stock is
$
Per share